Set-Valued Analysis"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes...results with many historical comments giving the reader a sound perspective to look at the subject...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...‘Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject." —Bulletin of the American Mathematical Society "This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps...The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math |
From inside the book
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... mathematics published by Birkh ̈auser in recent decades have been groundbreaking and have come to be regarded as foundational to the subject. Through the MBC Series, a select number of these modern classics, entirely uncorrected, are ...
... Mathematics Subject Classification (1985): 26A27, 26A51, 26E25, 28B20, 28D05, 34A60, 49A52, 54C60, 54C65, 58C06, 58C07, 58C30, 93C15, 93C30 c 2009 Birkh ̈auser Boston, a part of Springer Science+Business Media, LLC All rights reserved ...
... mathematical programming to calculus of variations to optimal control). Fermat also was the first to discover the "principle of least time" in optics, the prototype of the variational principles governing so many physical and mechanical ...
... mathematical economics and game theory, biomathematics, qualitative physics and viability theory — led us to devote time and effort to share some basic material which is used over and over. One can no longer afford the luxury of ...
... mathematical curiosity, to be left in the hands of mathematicians who like to generalize for the sake of generalizing, without proper motivations. In contrast, as it turned out, the need for set- valued analysis in solving problems ...